Question

Use the given map to find the coordinates of a point that lies on the directed line segment from c to d and partitions the segment in the ratio of 1 to 4

Answer 1

Given:

The line segment is passing through the points (-9,-3) and (8,5),

Divide the segment in the ratio of 1:4.

Use the formula,

$\begin{gathered} (\frac{mx_2+nx_1}{m+n},\frac{my_2-ny_1}{m+n}) \\ (x_1,y_1)=(-9,-3) \\ (x_2,y_2)=(8,5) \\ m\colon n=1\colon4 \end{gathered}$

It gives,

$\begin{gathered} (\frac{1(8)+4(-9)}{1+4},\frac{1(5)+4(-3)}{1+4}) \\ (-\frac{28}{5},-\frac{7}{5}) \end{gathered}$

Answer:

$(-\frac{28}{5},-\frac{7}{5})$